On the representation matrices for the symmetric group adapted to electron-pair and electron-group ...

@article{46720,
   author = {Hubač, Ivan and Wilson, S.},
   article_location = {US - Spojené státy americké},
   article_number = {18 SI},
   doi = {http://dx.doi.org/10.1002/qua.24262},
   keywords = {Symmetric group; Electron pairs; Electron groups; Graphical methods; Representation matrices},
   language = {eng},
   issn = {0020-7608},
   journal = {International Journal of Quantum Chemistry},
   title = {On the representation matrices for the symmetric group adapted to electron-pair and electron-group wave functions using graphical methods of spin algebras},
   url = {https://onlinelibrary.wiley.com/doi/full/10.1002/qua.24262},
   volume = {112},
   year = {2012}
}

TY  - JOUR
ID  - 46720
AU  - Hubač, Ivan - Wilson, S.
PY  - 2012
TI  - On the representation matrices for the symmetric group adapted to electron-pair and electron-group wave functions using graphical methods of spin algebras
JF  - International Journal of Quantum Chemistry
VL  - 112
IS  - 18 SI
SP  - 3098-3109
EP  - 3098-3109
SN  - 00207608
KW  - Symmetric group
KW  - Electron pairs
KW  - Electron groups
KW  - Graphical methods
KW  - Representation matrices
UR  - https://onlinelibrary.wiley.com/doi/full/10.1002/qua.24262
N2  - Using graphical methods of spin algebras, we present a direct method for the determination of the representation matrices of the symmetric group in a basis adapted to electron-pair and electron-group wave functions. In particular, we consider nonstandardrepresentations adapted to S-n1 x S-n2 x ... x S-nt where n(1) + n(2) + ... + n(t) = n. The Serber coupling scheme based on S-2 x S-2 x ... x S-2 is a special case suited for electron-pair wave functions. Our approach exploiting graphical methods of spin algebras is contrasted with the use of Young diagrams and tableaux, Yamanouchi symbols and branching diagrams.
ER  - 

HUBAČ, Ivan a S. WILSON. On the representation matrices for the symmetric group adapted to electron-pair and electron-group wave functions using graphical methods of spin algebras. \textit{International Journal of Quantum Chemistry}. US - Spojené státy americké, 2012, roč.~112, 18 SI, s.~3098-3109. ISSN~0020-7608. Dostupné z: https://dx.doi.org/10.1002/qua.24262.